Breaking flavor democracy with symmetric perturbations

Journal Article · 31 August 2018 · Physics Letters B

DOI: https://doi.org/10.1016/j.physletb.2018.08.062 · OSTI ID:1467948

Ghosh, Tathagata  ^[1]; Liao, Jiajun  ^[1]; Marfatia, Danny ^[1]; Yanagida, Tsutomu T. ^[2]

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1. Univ. of Hawaii, Honolulu, HI (United States)
2. Univ. of Tokyo, Chiba (Japan). Kavli IPMU (WPI

Flavor democracy broken in the fermion mass matrix by means of small perturbations can give rise to hierarchical fermion masses. We study the breaking of the S$$L\atop{3}$$×S$$R\atop{3}$$ symmetry associated with democratic mass matrices to a smaller exchange symmetry S$$L\atop{2}$$×S$$R\atop{2}$$ in the charged lepton, up and down quark sectors. An additional breaking of the S$$L\atop{2}$$×S$$R\atop{2}$$ symmetry is necessary for the down quark mass matrix, which yields arbitrary perturbations in that sector. On the other hand, we require the neutrino mass matrix to be diagonal at the leading order, with the perturbations left arbitrary due to the absence of any guiding symmetry. We show that the interplay between these two kinds of perturbations reproduces the quark and lepton mass and mixing observables for either hierarchy of neutrino masses.

• Research Organization: Univ. of Hawaii, Honolulu, HI (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0010504; de-sc0010504
• OSTI ID: 1467948
• Alternate ID(s): OSTI ID: 1598038
• Journal Information: Physics Letters B, Vol. 785, Issue C; ISSN 0370-2693
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English